7064838144 has 588 divisors, whose sum is σ = 26215290216. Its totient is φ = 1863254016.

The previous prime is 7064838139. The next prime is 7064838163. The reversal of 7064838144 is 4418384607.

It is a self number, because there is not a number n which added to its sum of digits gives 7064838144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 543449082 + ... + 543449094.

Almost surely, 2^7064838144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7064838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107645108).

7064838144 is an abundant number, since it is smaller than the sum of its proper divisors (19150452072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7064838144 is an frugal number, since it uses more digits than its factorization.

7064838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7064838144 is about 84052.5915364898. The cubic root of 7064838144 is about 1918.8192740479.

7064838144 divided by its product of nonzero digits (516096) gives a square (13689 = 117²).

The spelling of 7064838144 in words is "seven billion, sixty-four million, eight hundred thirty-eight thousand, one hundred forty-four".